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Finding the Fourth Proportional to 79.92, 110.46 and 65.46

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Solution

The fourth proportional to 79.92, 110.46 and 65.46 is: 90.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.92 : 110.46 = 65.46 : x
  2. Step 2: Convert to fraction form
    79.92/110.46 = 65.46/x
  3. Step 3: Cross multiply
    79.92x = 110.46 × 65.46
  4. Step 4: Simplify right side
    79.92x = 7,230.71
  5. Step 5: Solve for x
    x = 7,230.71/79.92
  6. Step 6: Final answer
    x = 90.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.